Quantitative Aptitude - Arithmetic Ability Questions

Q:

A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 75 paise per sq m is

A) Rs. 258 B) Rs. 358
C) Rs. 458 D) Rs. 558
 
Answer & Explanation Answer: D) Rs. 558

Explanation:

Area to be plastered = 2l+b×h+l×b 

=225+12×6+25×12=744sq.m 

Cost of plastering = 744×75100=Rs.558                       

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

79 50239
Q:

A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

A) 1260 B) 1400
C) 1250 D) 1600
 
Answer & Explanation Answer: A) 1260

Explanation:

A team of 6 members has to be selected from the 10 players. This can be done in 10C6 or 210 ways. 

Now, the captain can be selected from these 6 players in 6 ways.
Therefore, total ways the selection can be made is 210×6= 1260

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52 49788
Q:

The perimeter of a square is 26 cm. Find its area (in cm2).

 

A) 42.25   B) 84.5  
C) 39.25   D) 78.5
 
Answer & Explanation Answer: A) 42.25  

Explanation:
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Q:

Two trains A and B start simultaneously in the opposite direction from two points P and Q and arrive at their destinations 16 and 9 hours respectively after their meeting each other. At what speed does the second train B travel if the first train travels at 120 km/h

A) 90 km/h B) 160 km/h
C) 67.5 km/h D) None of these
 
Answer & Explanation Answer: B) 160 km/h

Explanation:

s1s2=t2t1

120s2=916=34

s2=160km/h

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165 49568
Q:

The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is

A) 4 B) 6
C) 8 D) 12
 
Answer & Explanation Answer: A) 4

Explanation:

Let the required numbers be 33a and 33b. 

 

Then 33a +33b= 528   =>   a+b = 16.

 

Now, co-primes with sum 16 are (1,15) , (3,13) , (5,11) and (7,9).

 

Therefore, Required numbers are  ( 33 x 1, 33 x 15), (33 x 3, 33 x 13), (33 x 5, 33 x 11), (33 x 7, 33 x 9)

 

The number of such pairs is 4

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129 49548
Q:

ΔDEF is right angled at E. If m∠F = 30 deg, then find the value of (cosD - 1/√2).

 

A) -1/2   B) (√6-1)/√3  
C) (√2-2)/2√2   D) √3-2
 
Answer & Explanation Answer: C) (√2-2)/2√2  

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 49511
Q:

At what time between 9 and 10 o'clock will the hands of a watch be together?

A) (49 + 3/11) min past 11 B) (49 +1/11) min past 9
C) (45 +1/11) min past 9 D) (45 +7/11) min past 11
 
Answer & Explanation Answer: B) (49 +1/11) min past 9

Explanation:

To be together between 9 and 10 o'clock, the minute hand has to gain 45 min. spaces.
55 min. spaces gained in 60 min.

 

45 min. spaces are gained in 6055×45 min  or 49111min

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Filed Under: Clocks
Exam Prep: Bank Exams
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64 49413
Q:

The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is 

A) 101 B) 107
C) 111 D) 185
 
Answer & Explanation Answer: C) 111

Explanation:

 Let the numbers be 37a and 37b. Then , 37a x 37b =4107  => ab = 3.

 Now co-primes with product 3 are (1,3)

 So, the required numbers are (37 x 1, 37 x 3) i.e, (37,111).

 Therefore, Greater number = 111.

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